73586064 has 80 divisors (see below), whose sum is σ = 207843840. Its totient is φ = 22333440.

The previous prime is 73586063. The next prime is 73586077. The reversal of 73586064 is 46068537.

It is not an unprimeable number, because it can be changed into a prime (73586063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23842 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (2598048).

Almost surely, 2^73586064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73586064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103921920).

73586064 is an abundant number, since it is smaller than the sum of its proper divisors (134257776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73586064 is a wasteful number, since it uses less digits than its factorization.

73586064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 73586064 is about 8578.2319856716. The cubic root of 73586064 is about 419.0493692338.

The spelling of 73586064 in words is "seventy-three million, five hundred eighty-six thousand, sixty-four".